Question

100 Points! Algebra question. Solve the equation or inequality. Photo attached. Thank you!

Answer 1

`5^(w+3)=17\\\ln 5^(w+3)=\ln 17\\(w+3)\ln 5=\ln 17\\w+3=(\ln 17)/(\ln 5)\\w=(\ln 17)/(\ln 5)-3`

Answer 2

`\huge\boxed{\sf w \approx -1.24}`

Explanation:

Given equation:

`\displaystyle 5^(w+3)=17`

Convert exponential form into logarithmic form.

We'll have:

`log_(5)17=w+3`

Using log calculator, log₅17 = 1.7604

So,

1.7604 = w + 3

• Subtract 3 from both sides

1.7604 - 3 = w

-1.24 ≈ w

w ≈ -1.24

`\rule[225]{225}{2}`